If \( \cos ^{-1} x+\cos ^{-1} y=\frac{\pi}{2} \) and \( \tan ^{-1} ...

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If \( \cos ^{-1} x+\cos ^{-1} y=\frac{\pi}{2} \) and \( \tan ^{-1} x-\tan ^{-1} y=0 \),
\( \mathrm{P} \)
W then \( x^{2}+x y+y^{2} \) is equal to
(A) 0
(B) \( \frac{1}{\sqrt{2}} \)
(C) \( \frac{3}{2} \)
(D) \( \frac{1}{8} \)
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